1 (a) In 2023 a football club had 50 adult members and 70 child members. The membership fee for an adult was $40 and the membership fee for a child was $15. (i) Calculate the total of the membership fees received by the club in 2023. $ ................................................ [2] (ii) The cost of running the club in 2023 was $2780. Calculate $2780 as a percentage of the total of the membership fees received by the club. ............................................. % [1] (iii) In 2023 there were 120 members. This was a decrease by 4% of the number of members in 2022. Calculate the number of members in 2022. ................................................. [2] (iv) In 2024 the total number of members increased from the 120 members in 2023. The number of adult members and the number of child members each increased by the same number. The ratio number of adult members : number of child members changed to 14 : 19. (a) Find the total number of members in 2024. ................................................. [2] (cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:179)(cid:237)(cid:203)(cid:241)(cid:209)(cid:257)(cid:205)(cid:290)(cid:209)(cid:269)(cid:200)(cid:286)(cid:215) © UCLES 2024 (cid:300)(cid:282)(cid:278)(cid:228)(cid:190)(cid:289)(cid:222)(cid:245)(cid:232)(cid:242)(cid:267)(cid:280)(cid:247)(cid:269)(cid:203)(cid:282)(cid:232)(cid:258) 0580/43/M/J/24 (cid:293)(cid:261)(cid:245)(cid:213)(cid:181)(cid:245)(cid:261)(cid:245)(cid:229)(cid:181)(cid:261)(cid:277)(cid:181)(cid:293)(cid:261)(cid:277)(cid:245)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0019655323303 * 3 (cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:3)(cid:4)(cid:4)(cid:1)(cid:4)(cid:44) (b) Calculate the percentage increase in the total number of members from 2023 to 2024. ............................................. % [2] (b) The population of a village is 2500. The population is decreasing exponentially at a rate of 3% per y ear. (i) Calculate the population at the end of 3 years. ................................................. [2] (ii) Find the number of complete years it takes for the population to first fall below 2000. ........................................ years [2] (cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:179)(cid:237)(cid:203)(cid:241)(cid:209)(cid:257)(cid:205)(cid:290)(cid:209)(cid:271)(cid:200)(cid:286)(cid:215) [Turn over © UCLES 2024 (cid:300)(cid:282)(cid:277)(cid:227)(cid:198)(cid:295)(cid:226)(cid:261)(cid:209)(cid:264)(cid:246)(cid:209)(cid:227)(cid:293)(cid:271)(cid:282)(cid:216)(cid:258) 0580/43/M/J/24 (cid:293)(cid:261)(cid:261)(cid:277)(cid:245)(cid:277)(cid:293)(cid:277)(cid:181)(cid:197)(cid:213)(cid:277)(cid:181)(cid:261)(cid:293)(cid:213)(cid:293)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0019655323304 * 4 (cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:3)(cid:4)(cid:4)(cid:1)(cid:5)(cid:44) NIGRAM